131024205312 has 960 divisors, whose sum is σ = 483734372352. Its totient is φ = 30656102400.

The previous prime is 131024205311. The next prime is 131024205331. The reversal of 131024205312 is 213502420131.

It is a super-2 number, since 2×131024205312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131024205311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1031686593 + ... + 1031686719.

Almost surely, 2^131024205312 is an apocalyptic number.

131024205312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131024205312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241867186176).

131024205312 is an abundant number, since it is smaller than the sum of its proper divisors (352710167040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131024205312 is a wasteful number, since it uses less digits than its factorization.

131024205312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 131024205312 its reverse (213502420131), we get a palindrome (344526625443).

The spelling of 131024205312 in words is "one hundred thirty-one billion, twenty-four million, two hundred five thousand, three hundred twelve".